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LenKa [72]
2 years ago
10

Given the parent function of f(x) = x³, what is the value of k in the translated graph of f(x - h) + k?

Mathematics
1 answer:
jekas [21]2 years ago
7 0

The value of k in the translated graph of f(x - h) + k is; k = 2

<h3>How to carry out Translations on Graphs?</h3>

We are given the parent function of f(x) = x³.

Now, the point (0, 0) in the graph of f(x) is the point (3, 2) in the translated graph. Thus;

The rule of translation is;

(x, y) → (x + 3, y + 2)

That means;

The translation is 3 units to the right and 2 units up

The equation of the translated graph is equal to;

f(x) = (x - 3)³ + 2

Thus;

The value of k is equal to 2.

Read more about Graph Translations at; brainly.com/question/4025726

#SPJ1

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The man is 84

Step-by-step explanation:

84 x 2 is 168,

200-168=32

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given that A=43 degrees , B=82 degrees and c=28, solve triangle ABC. Round to the nearest hundredth. A) C= 93 degrees , b= 33.8
n200080 [17]
A=43°
B=82°
c=28

1) A+B+C=180°
Replacing A=43° and B=82° in the equation above:
43°+82°+C=180°
125°+C=180°
Solving for C. Subtracting 125° both sides of the equation:
125°+C-125°=180°-125°
C=55° (option B or C)

2) Law of sines
a/sin A=b/sin B=c/sin C
Replacing A=43°, B=82°, C=55°, and c=28 in the equation above:
a/sin 43°=b/sin 82°=28/sin 55°

2.1) a/sin 43°=28/sin 55°
Solving for a. Multiplying both sides of the equation by sin 43°:
sin 43°(a/sin 43°)=sin 43°(28/sin 55°)
a=28 sin 43° / sin 55°
Using the calculator: sin 43°=0.681998360, sin 55°=0.819152044
a=28(0.681998360)/0.819152044
a=23.31185549
Rounded to one decimal place
a=23.3

 2.2) b/sin 82°=28/sin 55°
Solving for a. Multiplying both sides of the equation by sin 82°:
sin 82°(b/sin 82°)=sin 82°(28/sin 55°)
b=28 sin 82° / sin 55°
Using the calculator: sin 82°=0.990268069, sin 55°=0.819152044
b=28(0.990268069)/0.819152044
b=33.84903466
Rounded to one decimal place
b=33.8

Answer: Option B) C=55°, b=33.8, a=23.3
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